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Finding the Fourth Proportional to 6,249.64, 9,369.81 and 3,783.87

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Solution

The fourth proportional to 6,249.64, 9,369.81 and 3,783.87 is: 5,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.64 : 9,369.81 = 3,783.87 : x
  2. Step 2: Convert to fraction form
    6,249.64/9,369.81 = 3,783.87/x
  3. Step 3: Cross multiply
    6,249.64x = 9,369.81 × 3,783.87
  4. Step 4: Simplify right side
    6,249.64x = 35,454,096.12
  5. Step 5: Solve for x
    x = 35,454,096.12/6,249.64
  6. Step 6: Final answer
    x = 5,672.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.